Electric Potential of Dipole Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2)
ϕ = ([Coulomb]*p*cos(θ))/(|r|^2)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Electrostatic Potential - (Measured in Volt) - Electrostatic Potential is the potential energy per unit charge at a point in an electric field, measured relative to a reference point.
Electric Dipole Moment - (Measured in Coulomb Meter) - Electric Dipole Moment is a measure of the separation of positive and negative electric charges within a system, used to describe the distribution of electric charge.
Angle between any Two Vectors - (Measured in Radian) - Angle between any two vectors is the measure of orientation between two vectors in three-dimensional space, used to calculate electrostatic forces and interactions.
Magnitude of Position Vector - (Measured in Meter) - Magnitude of Position Vector is the length of the position vector from the origin to a point in an electrostatic field.
STEP 1: Convert Input(s) to Base Unit
Electric Dipole Moment: 0.6 Coulomb Meter --> 0.6 Coulomb Meter No Conversion Required
Angle between any Two Vectors: 89 Degree --> 1.55334303427466 Radian (Check conversion ​here)
Magnitude of Position Vector: 1371 Meter --> 1371 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ϕ = ([Coulomb]*p*cos(θ))/(|r|^2) --> ([Coulomb]*0.6*cos(1.55334303427466))/(1371^2)
Evaluating ... ...
ϕ = 50.0694781901412
STEP 3: Convert Result to Output's Unit
50.0694781901412 Volt --> No Conversion Required
FINAL ANSWER
50.0694781901412 50.06948 Volt <-- Electrostatic Potential
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Palakkad
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Electric Potential and Energy Density Calculators

Electric Potential of Dipole
​ Go Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2)
Electrostatic Potential Energy of Point Charge or System of Charges
​ Go Potential Energy of Point Charge = ([Coulomb]*Charge 1*Charge 2)/Separation between Charges
Electrostatic Potential due to Point Charge
​ Go Electrostatic Potential = ([Coulomb]*Point Charge)/Separation between Charges
Energy Density in Electric Field
​ Go Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2

Electric Potential of Dipole Formula

Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2)
ϕ = ([Coulomb]*p*cos(θ))/(|r|^2)

What is Electric Potential Dipole?

Electric potential of a dipole refers to the potential created by a dipole (a pair of equal and opposite charges separated by a distance) at a given point in space. The potential depends on the distance from the dipole and the orientation of the dipole relative to the point of interest. It varies more complexly than the potential from a single charge and can be used to describe interactions in various electrostatic problems.

How to Calculate Electric Potential of Dipole?

Electric Potential of Dipole calculator uses Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2) to calculate the Electrostatic Potential, Electric Potential of Dipole formula is defined as a measure of the potential difference between two points in space due to the presence of an electric dipole, which is a separation of positive and negative electric charges, and is used to describe the electric field around the dipole. Electrostatic Potential is denoted by ϕ symbol.

How to calculate Electric Potential of Dipole using this online calculator? To use this online calculator for Electric Potential of Dipole, enter Electric Dipole Moment (p), Angle between any Two Vectors (θ) & Magnitude of Position Vector (|r|) and hit the calculate button. Here is how the Electric Potential of Dipole calculation can be explained with given input values -> 49.99652 = ([Coulomb]*0.6*cos(1.55334303427466))/(1371^2).

FAQ

What is Electric Potential of Dipole?
Electric Potential of Dipole formula is defined as a measure of the potential difference between two points in space due to the presence of an electric dipole, which is a separation of positive and negative electric charges, and is used to describe the electric field around the dipole and is represented as ϕ = ([Coulomb]*p*cos(θ))/(|r|^2) or Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2). Electric Dipole Moment is a measure of the separation of positive and negative electric charges within a system, used to describe the distribution of electric charge, Angle between any two vectors is the measure of orientation between two vectors in three-dimensional space, used to calculate electrostatic forces and interactions & Magnitude of Position Vector is the length of the position vector from the origin to a point in an electrostatic field.
How to calculate Electric Potential of Dipole?
Electric Potential of Dipole formula is defined as a measure of the potential difference between two points in space due to the presence of an electric dipole, which is a separation of positive and negative electric charges, and is used to describe the electric field around the dipole is calculated using Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any Two Vectors))/(Magnitude of Position Vector^2). To calculate Electric Potential of Dipole, you need Electric Dipole Moment (p), Angle between any Two Vectors (θ) & Magnitude of Position Vector (|r|). With our tool, you need to enter the respective value for Electric Dipole Moment, Angle between any Two Vectors & Magnitude of Position Vector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Electrostatic Potential?
In this formula, Electrostatic Potential uses Electric Dipole Moment, Angle between any Two Vectors & Magnitude of Position Vector. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Electrostatic Potential = ([Coulomb]*Point Charge)/Separation between Charges
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